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Mathematics
Mathematics
Problem
For the integral
∫
x
(
ln
x
)
2
d
x
\displaystyle\int x(\ln x)^2\,dx
∫
x
(
ln
x
)
2
d
x
, which choice of
u
u
u
is most likely to produce an antiderivative with the least amount of algebraic work? a)
u
=
x
u = x
u
=
x
b)
u
=
(
ln
x
)
2
u = (\ln x)^2
u
=
(
ln
x
)
2
c)
u
=
x
(
ln
x
)
2
u = x(\ln x)^2
u
=
x
(
ln
x
)
2
d)
u
=
ln
x
u = \ln x
u
=
ln
x
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